Any,short of a new SHP or new block like it,needs to the machine shop to have the bores checked for roundness.It is kind of rare to find a block that just needs a hone and you can run it at 4.00.
Now a 4.00 x 3.75 stroke doesn't make a 383.That would be a 377.A 383 is a bore that is .030 over. While I talk about bores,the machine shop should have the pistons in hand while boring or honing for the final size.So don't allow them to bore or hone anything until you have the pistons to give to them.And the deck should be checked too for flatness.Where you set the deck height will make a difference in the SCR.(static compression ratio)At the end of the day the DCR(dynamic compression ratio) the takes into account all the factors of SCR which includes the deck height,type of piston,head chamber cc,and what kind of cam choice you made for the cam timing,really shouldn't be set any higher than 8.5 for pump gas.In this link(s) are some formulas to get you started on the SCR and DCR.

AutomotiveCalculators and Converters

Wallace Racing - Automotive Calculators